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Finding the Fourth Proportional to 37,753.20, 56,631 and 9,673.44

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Solution

The fourth proportional to 37,753.20, 56,631 and 9,673.44 is: 14,510.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,753.20 : 56,631 = 9,673.44 : x
  2. Step 2: Convert to fraction form
    37,753.20/56,631 = 9,673.44/x
  3. Step 3: Cross multiply
    37,753.20x = 56,631 × 9,673.44
  4. Step 4: Simplify right side
    37,753.20x = 547,816,580.64
  5. Step 5: Solve for x
    x = 547,816,580.64/37,753.20
  6. Step 6: Final answer
    x = 14,510.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.